Test Your Understanding 3.1: Work and Potential Energy I
Which requires the most work (by you), to move a positive charge from
to points 1, 2, 3 or 4? All points are the same distance from .
A. 1
2
B. 2
3
C. 3
1
D. 4
4
For path 1, you have to push the po
In-Class-Exercise 5.1: Currents and Charges
1
1 and 2 are currents flowing through two different circuits. From the
diagram below, calculate the difference in the total charge that flows
through the two circuits for the first 7 seconds.
Current A
11.0
1
2
PC1222: Fundamentals of Physics II
Semester 1, 2016/17
Lecture 1:
Electrostatic Interactions
2
Opening question
Static electricity
How does a bee pick up
pollen?
Lecture 1: Electrostatic Interactions
Lecture Outline
3
Electric Charge
Types of charges
Co
PC1222: Fundamentals of Physics II
Semester 1, 2016/17
Lecture 5:
Current and Resistance
2
Opening Question
Why are these birds safe?
Lecture 5: Current and Resistance
Lecture Outline
3
Electric Current and Electromotive Force
Resistance and Resistivity
PC1222: Fundamentals of Physics II
Semester 1, 2016/17
Lecture 2:
Electric Forces and Fields
2
Opening Question
What is the use of a lightning rod?
Lecture 2: Electric Forces and Fields
Lecture Outline
3
Electric Fields
Point
charge
Spherical shell
In
Test Your Understanding 6.1: Series Resistors
In the circuit below, what is the voltage across 1 ?
A. 12 V
1 = 4
2 = 2
B. zero
C. 6 V
D. 8 V
E. 4 V
12 V
The voltage drop across 1 has to be twice as big as the drop across 2 . This
means that 1 = 8 V and
Quan%ty
Units (SI)
Dimension
Mass
Kilogram (kg)
M
Length
Meter (m)
L
Time
Second (s)
T
Temperature
Kelvin (K)
Amount of substance
Mole (mol)
N
Electric Current
Ampere (A)
I
Luminosity
Candela (Cd)
Coordinate System
Is it on my le1 or on your right?
Fundamentals of Physics 1 by Dewanto: Coordinate System
1
Where is the tree?
Its on my
right!
Hi! Im
Ah Boy!
Fundamentals of Physics 1 by Dewanto: Coordinat
Test Your Understanding 4.1: Capacitors
Capacitor 1 is connected across a battery of 5 V. An identical
capacitor 2 is connected across a battery of 10 V. Which capacitor
carries more charge?
A. 1
B. 2
C. both have the same charge
D. it depends on other fa
PC1222: Fundamentals of Physics II
Semester 1, 2016/17
Lecture 3:
Electric Potential
2
Opening Question
A tool widely used in medicine to diagnose the condition of the
heart is the electrocardiogram (ECG). The ECG data is displayed
on a graph that shows a
PC1222: Fundamentals of Physics II
Semester 1, 2016/17
Lecture 6b:
Direct Current Circuits II
2
Opening Question
Are these resistors in series or parallel?
Lecture 6: Direct Current Circuits
Lecture Outline
3
Kirchhoffs Rules
RC Circuits
Lecture 6: Dire
PC1222: Fundamentals of Physics II
Semester 1, 2016/17
Lecture 6a:
Direct Current Circuits I
2
Opening Question
Are Christmas lights wired in series or
parallel?
Lecture 6: Direct Current Circuits
Lecture Outline
3
Resistors Networks
Series wiring
Paral
Vector Algebra
Fundamentals of Physics 1 by Dewanto: Vector Algebra
1
Visualizing a Vector Quan>ty
The length of
the arrow
indicates the
magnitude of
the quan>ty
The direc>on of the arrow
indicates the direc>on
Test Your Understanding 1.1: Electric charge I
Two charged balls are repelling each other as they hang from the
ceiling. What can you say about their charges?
A. one is positive, the other is negative
B. both are positive
C. both are negative
D. both are
PC1222 Fundamentals of Physics II
Revision on Basics of Vectors
What is Physics?
Science that deals with the structure of matter and the interactions
between the fundamental constituents of the observable universe. In the broadest sense,
physics (from the
Measurements and Data Analysis
1
Introduction
The central point in experimental physical science is the measurement of physical quantities.
Experience has shown that all measurements, no matter how carefully made, have some degree
of uncertainty that may
P a g e | 1
Data Analysis Assignment
Instruction
You are encouraged to use Excel to perform the computations for this assignment. Submit your written
assignment together with the necessary Excel spreadsheet printout before
Welcome to Data Analysis for
Level 1 Physics Laboratory
A short lecture on the evaluation of Measurement
Uncertainty based on GUM standard An
International Consensus.
So do you know what is GUM?
This teaching material is prepared by
Dr Ng Siow Yee (NUS Le
Example 1: Thickness of a metal plate
Thickness
d0.001 (mm)
Manual Calculations
(di dmean)2
d1
3.087
Mean
mm
d2
3.156
Std. deviation
mm
d3
3.095
Std error
mm
d4
3.209
d5
3.131
d6
3.052
d7
3.034
d8
3.115
d9
3.044
AVERAGE()
mm
d10
3.080
STDEV()
mm
Sum
Excel
1
Taming Chaos
GEM2505 Special term
Max Colla
[email protected]
S12-03-17
2
THE CELLULAR
AUTOMATA
Lecture 4
3
Todays
Lecture
Pascals Triangle Revisited
Cellular Automata
The Game of Life
4
Pascals
Triangle
This describes
the coefficients of the expansi
1
Taming Chaos
GEM2505
Max Colla
[email protected]
2
PLAYING WITH THE
DRIVEN PENDULUM
Lecture 2
3
In todays
lecture
The simple pendulum
The driven pendulum
Parametric excitation
Chaotic motion
Exponential instability
4
The
pendulum
Over the years a lot
Taming Chaos
GEM2505M
Frederick H. Willeboordse
[email protected]
1
In Class Tutorial 2
2
GEM2505M
Questions
?
Received by E-mail
Final Exam
British Coast Line & what is a Fractal
Julia Set
Mandelbrot Set
Game of Life
Self-organized Critical
1
Taming Chaos
GEM2505
Max Colla
[email protected]
2
THE ESSENCE OF CHAOS
Lecture 1
3
The essence of Chaos
What is chaos?
History
The Clockwork
syndrome
Chaos old times
The sixties revival
Chaos in the Solar
system
4
Wikipedia
In mathematics, chaos the
1
Taming Chaos
GEM2505 Special term
Max Colla
[email protected]
S12-03-17
2
BIFURCATIONS AND WINDOWS
Lecturer 8
Todays
Lecture
3
Lyapunov Exponents
Super-stable orbits
Bifurcations in the
Kicked Rotor
The Story
Weve seen how we can
understand some of t
1
Taming Chaos
GEM2505 Special term
Max Colla
[email protected]
S12-03-17
2
BIFURCATIONS AND WINDOWS
Lecture 7
3
Todays
Lecture
Bifurcations
Windows
Destinations
Crisis
Stability
The Story
Weve seen what a bifurcation
diagram is.
How can we understand
Taming Chaos
GEM2505M
Frederick H. Willeboordse
[email protected]
1
In Class Tutorial 1
2
GEM2505M
Questions
?
Received by E-mail
Homoclinic Points
Btw. this picture is based
on an invertible period 1
map.
Invertible implies that
there is a unique
1
Taming Chaos
GEM2505 Special term
Max Colla
[email protected]
S12-03-17
2
CHAOTIC MAPS
3
Todays
Lecture
The standard map
Resonances
The Logistic Map
Cobwebs
Bifurcation Diagram
4
Todays
Lecture
Let us go
back to the driven pendulum. We know, it is a
1
Taming Chaos
GEM2505 Special term
Max Colla
[email protected]
S12-03-17
2
STRANGE ATTRACTORS
Lecture 9
Todays
Lecture
3
Strange Attractors
Lorenz Equations
Henon Map
The Story
Many physical systems are dissipative.
Hence one would expect their attrac
1
Taming Chaos
GEM2505 Special term
Max Colla
[email protected]
S12-03-17
2
THE ESSENCE OF CHAOS
Lecture 10
Todays
Lecture
3
Stretch and Fold
Chaos and Randomness
The Story
Now that we have obtained
some understanding of the
phenomena encountered in
ch